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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/108/02/0151-0162

    • Keywords

       

      Cohomology ofG-simplicial sets; simplicial differential graded algebra; Cartan cohomology; closed model category; OG-Eilenberg-MacLane complex

    • Abstract

       

      This paper presents a translation of a theorem of Cartan into an equivariant setting. This work is largely based on the study of the homotopical algebra in the sense of Quillen of the category of simplicial objects over the category of rationalOg-vector spaces. The application is a solution to the equivariant commutative cochain problem. This solution is slightly better than the solution obtained earlier by Triantafillou in that the transformation groupG need not be finite.

    • Author Affiliations

       

      Amiya Mukherjee1 Aniruddha C Naolekar1

      1. Stat-Math Division, Indian Statistical Institute, 203, B.T. Road, Calcutta - 700035, India

    • Dates

       
      Published
      June 1998
      Manuscript received
      23 July 1997
      Manuscript revised
      24 January 1998

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